Math Concepts: Place Values and Fractions

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Questions and Answers

If 100 402 047 is rounded to the nearest _____________, the approximate value is 100 000 000. Which of the following cannot be the answer for the blank?

  • Hundred million
  • Million
  • Ten thousand (correct)
  • Ten million

The area of the rectangle with a width of 3 cm and length twice its width is __________ cm².

18

Arrange the numbers 2, 4, 3, 5, 6, 4, 19 from greatest to smallest.

19 > 6 > 5 > 4 > 4 > 3 > 2

In the given scenario, most of the marbles are blue.

<p>False (B)</p> Signup and view all the answers

Which of the following statements is correct?

<p>4 &lt; 19 (A), 3 &lt; 5 (D)</p> Signup and view all the answers

The width of a rectangle is 3 cm and its length is __________ of its width.

<p>2 times</p> Signup and view all the answers

What direction does Paul go to reach the island?

<p>North (or any other plausible direction)</p> Signup and view all the answers

Match the activities with the participants regarding pizza consumption.

<p>David = Ate 1/6 of the pizza Candy = Ate 3/8 of the pizza Kevin = Ate 1/4 of the pizza</p> Signup and view all the answers

In the number ‘60 895 003’, what place is the digit ‘9’ in?

<p>Ten thousand (B)</p> Signup and view all the answers

The digit '5' in the number ‘60 895 003’ stands for 5,000.

<p>True (A)</p> Signup and view all the answers

What is the numeral form of 'fifty million nine hundred thousand six hundred and two'?

<p>5090602</p> Signup and view all the answers

The number ‘72 615 316’ rounded to the nearest million is ____________.

<p>73 000 000</p> Signup and view all the answers

What is the area of the shaded part of the figure in question 5?

<p>140 m² (D)</p> Signup and view all the answers

The number ‘72 615 316’ rounded off to the nearest hundred thousand is __________.

<p>72 600 000</p> Signup and view all the answers

What is the result of the addition problem in question 4?

<p>80 (C)</p> Signup and view all the answers

Match the following numbers with their rounding results:

<p>72 615 316 = 73 000 000 60 895 003 = 60 900 000 50 000 007 = 50 000 000 72 600 000 = 72 600 000</p> Signup and view all the answers

What fraction indicates how much pizza they ate if they consumed the whole pizza?

<p>$4/4$ (B)</p> Signup and view all the answers

The L.C.M of 6, 16, and 24 is 48.

<p>True (A)</p> Signup and view all the answers

If a rectangular lawn measures 30 m by 40 m, how far has my father walked after walking around it twice?

<p>140 m</p> Signup and view all the answers

If each box has a dozen dumplings and the restaurant orders 30 boxes, then it can make __________ bowls of dumpling soup if each bowl needs 7 dumplings.

<p>60</p> Signup and view all the answers

How many liters of juice did Cecilia buy altogether if she bought 2 L of grape juice and 1/5 L of orange juice?

<p>2.4 L (A)</p> Signup and view all the answers

In a running race, if the champion's time is 324 seconds and the difference between the second runner-up and the champion's time is 1/5 second, the second runner-up's time is __________ seconds.

<p>324.2</p> Signup and view all the answers

A bus can carry up to 50 passengers.

<p>False (B)</p> Signup and view all the answers

Identify the 6-digit odd number based on the defined conditions.

<p>264273</p> Signup and view all the answers

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Study Notes

Number Place Values

  • The digit "9" is in the hundred thousands place.
  • The digit "5" represents five ten thousands.

Rounding Off

  • 72 615 316 rounded to the nearest hundred thousand is 72 600 000.
  • 72 615 316 rounded to the nearest million is 73 000 000.
  • 72 615 316 rounded to the nearest ten thousand is 72 620 000.

Number Writing

  • Fifty million nine hundred thousand six hundred and two is written as 50 900 602 in numerals.

Addition of Fractions

  • 7/12 + 2/3 = 11/12.

Area of Shaded Region

  • The area of the shaded region is 252 m².

Rounding to the Nearest

  • 100 402 047 rounded to the nearest ten million is 100 000 000.

Number Ordering

  • The numbers from greatest to smallest are: 4 5/6 > 4 19/4 > 4 2/3.

Fractional Comparisons

  • The correct comparison is 3/4 < 5/4.

Area of a Rectangle

  • The area of the rectangle is 18 cm².

Marbles

  • Blue marbles are the most numerous.

Compass Directions

  • To reach the island, Paul goes south then turns east to find the treasure.
  • The island is to the east of the Forest.

Pizza Eaten

  • David ate 1/6 of the pizza.
  • Candy ate 3/8 of the pizza.
  • Kevin ate 1/3 of the pizza.

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